Scientific Notation

Front

What is scientific notation?

Back

A method of expressing numbers as a product of a coefficient and a power of 10, typically in the form a × 10^n, where 1 ≤ a < 10 and n is an integer.

Front

How do you multiply numbers in scientific notation?

Back

Multiply the coefficients and add the exponents: (a × 10^m) × (b × 10^n) = (a × b) × 10^(m+n).

Front

How do you divide numbers in scientific notation?

Back

Divide the coefficients and subtract the exponents: (a × 10^m) ÷ (b × 10^n) = (a ÷ b) × 10^(m-n).

Front

What is the order of magnitude?

Back

The order of magnitude of a number is the power of 10 when the number is expressed in scientific notation.

Front

How do you convert a standard number to scientific notation?

Back

Move the decimal point in the number until only one non-zero digit remains to the left. Count the number of places moved; this becomes the exponent of 10.

Front

What is the significance of the coefficient in scientific notation?

Back

The coefficient must be between 1 and 10, which helps standardize the representation of numbers.

Front

How do you add numbers in scientific notation?

Back

Convert to the same exponent, then add the coefficients: (a × 10^n) + (b × 10^n) = (a + b) × 10^n.

Front

What is the result of (9.6×10^-8) ÷ (2×10^-15)?

Back

4.8×10^7.

Front

Order the following from greatest to least: 5 x 10^3, 3.2 x 10^8, 1.2 x 10^8, 7 x 10^5.

Back

3.2 x 10^8, 1.2 x 10^8, 7 x 10^5, 5 x 10^3.

Front

Which number is the greatest: 5.25 x 10^5, 2.55 x 10^5, 5.55 x 10^5, 5 x 10^5?

Back

5.55 x 10^5.